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DENIUS [597]
3 years ago
14

Use any order, any grouping to write an equivalent expression: 3(2x) + 4y(5) + (4 x 2 x z)

Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

We conclude that the equivalent expression is:

3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z

Step-by-step explanation:

Given the expression

3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)

Remove parentheses: (a) = a

=3\times \:2x+4\times \:5y+4\times \:2z

Multiply the numbers: 3 ×  2 = 6

=6x+4\times \:5y+4\times \:2z

Multiply the numbers: 4 × 5 = 20

=6x+20y+4\times \:2z

Multiply the numbers: 4 × 2 = 8

=6x+20y+8z

Thus, we conclude that the equivalent expression is:

3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z

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liberstina [14]

Composite numbers are numbers that have more than 2 factors. With that being said, your answer would be 2.

4 is a composite number: 1, 2, 4

6 is a composite number: 1, 2, 3, 6

8 is a composite number: 1, 2, 4, 8

2 is a prime number: 1 and 2

2 is a prime number, not a composite number.

7 0
2 years ago
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andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0
3 years ago
In 1900, there was an Olympic underwater swimming event. The score was calculated by giving one point for each second the swimme
mash [69]
68.4*1= 68.4   60.2*2= 120.4   68.4+120.4=    188.8
4 0
3 years ago
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Solve the system of linear equations using matrices.<br> x+6y=7<br> x + 5y=4
Rzqust [24]

Answer:

1+6y= "7y=7"

1+5y= "6y=4"

Step-by-step explanation:

X represents "1" so you replace your "X" with "1" and solve the equation.

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3 years ago
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